On Coastal Trapped Waves: Analysis and Numerical Calculation by Inverse Iteration
On Coastal Trapped Waves: Analysis and Numerical Calculation by Inverse Iteration
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沿海陷波：逆迭代分析与数值计算
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
J. Huthnance
中科院分区：
文献类型：
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作者：
J. Huthnance
摘要本文研究了在连续分层海洋中的亚惯性频率波，并讨论了在大陆架和陆坡上捕获的波。它们形成一个无限离散的模式序列，频率逐渐减小到零。模态频率随分层的增加而增加。在北方半球，所有模态都以其右侧的海岸为前进方向。在三种形式上的渐近极限中，波浪采用特殊的形式：（1）大的沿岸波数[Rhines（1970）底陷波];（2）小的分层[正压大陆架波];（3）大的分层[斜压（内部）Kelvin波]。这些结果说明了数值计算使用的逆迭代的方法，它避免了时间积分。进一步的计算表明，深度和密度剖面对波形有很强的影响。具体而言，现实背景（即，以较陡的大陆坡为界的缓倾斜的大陆架，靠近表面有较大的分层）。
Abstract Waves of sub-inertial frequency in a continuously stratified ocean and trapped over a continental shelf and slope are considered. They form one infinite discrete sequence of modes with frequencies decreasing to zero. The mode frequencies increase with stratification. All modes progress with the coast on their right in the Northern Hemisphere. In three formal asymptotic limits the waves adopt special forms: (1) large longshore wavenumber [Rhines (1970) bottom–trapped waves]; (2) small stratification [barotropic continental shelf waves]; and (3) large stratification [baroclinic (internal) Kelvin-like waves]. These results are illustrated by numerical calculations using the method of inverse iteration, which avoids time integration. Further calculations demonstrate the strong influence of the depth and density profiles on the wave forms. In particular, a realistic context (i.e., a gently sloping shelf bounded by a steeper continental slope, together with greater stratification near to the surface) a...